English

Mixed stochastic differential equations: Existence and uniqueness result

Probability 2015-11-03 v1

Abstract

In this paper we shall establish an existence and uniqueness result for solutions of multidimensional, time dependent, stochastic differential equations driven simultaneously by a multidimensional fractional Brownian motion with Hurst parameter $H > \frac{1}{2} and a multidimensional standard Brownian motion under a weaker condition than the Lipschitz one.

Keywords

Cite

@article{arxiv.1511.00191,
  title  = {Mixed stochastic differential equations: Existence and uniqueness result},
  author = {José Luís da Silva and Mohamed Erraoui and El Hassan Essaky},
  journal= {arXiv preprint arXiv:1511.00191},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T11:33:56.961Z